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Finding the Third Proportional to 3,113,697.38 and 6,739,151.06

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Solution

The third proportional to 3,113,697.38 and 6,739,151.06 is: 14,585,925.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,113,697.38 : 6,739,151.06 = 6,739,151.06 : x
  2. Step 2: Convert to fraction form
    3,113,697.38/6,739,151.06 = 6,739,151.06/x
  3. Step 3: Cross multiply
    3,113,697.38x = 6,739,151.06 × 6,739,151.06
  4. Step 4: Simplify right side
    3,113,697.38x = 45,416,157,043,194.88
  5. Step 5: Solve for x
    x = 45,416,157,043,194.88/3,113,697.38
  6. Step 6: Final answer
    x = 14,585,925.21

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.